( function () { class SVGLoader extends THREE.Loader { constructor( manager ) { super( manager ); // Default dots per inch this.defaultDPI = 90; // Accepted units: 'mm', 'cm', 'in', 'pt', 'pc', 'px' this.defaultUnit = 'px'; } load( url, onLoad, onProgress, onError ) { const scope = this; const loader = new THREE.FileLoader( scope.manager ); loader.setPath( scope.path ); loader.setRequestHeader( scope.requestHeader ); loader.setWithCredentials( scope.withCredentials ); loader.load( url, function ( text ) { try { onLoad( scope.parse( text ) ); } catch ( e ) { if ( onError ) { onError( e ); } else { console.error( e ); } scope.manager.itemError( url ); } }, onProgress, onError ); } parse( text ) { const scope = this; function parseNode( node, style ) { if ( node.nodeType !== 1 ) return; const transform = getNodeTransform( node ); let isDefsNode = false; let path = null; switch ( node.nodeName ) { case 'svg': style = parseStyle( node, style ); break; case 'style': parseCSSStylesheet( node ); break; case 'g': style = parseStyle( node, style ); break; case 'path': style = parseStyle( node, style ); if ( node.hasAttribute( 'd' ) ) path = parsePathNode( node ); break; case 'rect': style = parseStyle( node, style ); path = parseRectNode( node ); break; case 'polygon': style = parseStyle( node, style ); path = parsePolygonNode( node ); break; case 'polyline': style = parseStyle( node, style ); path = parsePolylineNode( node ); break; case 'circle': style = parseStyle( node, style ); path = parseCircleNode( node ); break; case 'ellipse': style = parseStyle( node, style ); path = parseEllipseNode( node ); break; case 'line': style = parseStyle( node, style ); path = parseLineNode( node ); break; case 'defs': isDefsNode = true; break; case 'use': style = parseStyle( node, style ); const href = node.getAttributeNS( 'http://www.w3.org/1999/xlink', 'href' ) || ''; const usedNodeId = href.substring( 1 ); const usedNode = node.viewportElement.getElementById( usedNodeId ); if ( usedNode ) { parseNode( usedNode, style ); } else { console.warn( 'SVGLoader: \'use node\' references non-existent node id: ' + usedNodeId ); } break; default: // console.log( node ); } if ( path ) { if ( style.fill !== undefined && style.fill !== 'none' ) { path.color.setStyle( style.fill ); } transformPath( path, currentTransform ); paths.push( path ); path.userData = { node: node, style: style }; } const childNodes = node.childNodes; for ( let i = 0; i < childNodes.length; i ++ ) { const node = childNodes[ i ]; if ( isDefsNode && node.nodeName !== 'style' && node.nodeName !== 'defs' ) { // Ignore everything in defs except CSS style definitions // and nested defs, because it is OK by the standard to have // <style/> there. continue; } parseNode( node, style ); } if ( transform ) { transformStack.pop(); if ( transformStack.length > 0 ) { currentTransform.copy( transformStack[ transformStack.length - 1 ] ); } else { currentTransform.identity(); } } } function parsePathNode( node ) { const path = new THREE.ShapePath(); const point = new THREE.Vector2(); const control = new THREE.Vector2(); const firstPoint = new THREE.Vector2(); let isFirstPoint = true; let doSetFirstPoint = false; const d = node.getAttribute( 'd' ); // console.log( d ); const commands = d.match( /[a-df-z][^a-df-z]*/ig ); for ( let i = 0, l = commands.length; i < l; i ++ ) { const command = commands[ i ]; const type = command.charAt( 0 ); const data = command.slice( 1 ).trim(); if ( isFirstPoint === true ) { doSetFirstPoint = true; isFirstPoint = false; } let numbers; switch ( type ) { case 'M': numbers = parseFloats( data ); for ( let j = 0, jl = numbers.length; j < jl; j += 2 ) { point.x = numbers[ j + 0 ]; point.y = numbers[ j + 1 ]; control.x = point.x; control.y = point.y; if ( j === 0 ) { path.moveTo( point.x, point.y ); } else { path.lineTo( point.x, point.y ); } if ( j === 0 ) firstPoint.copy( point ); } break; case 'H': numbers = parseFloats( data ); for ( let j = 0, jl = numbers.length; j < jl; j ++ ) { point.x = numbers[ j ]; control.x = point.x; control.y = point.y; path.lineTo( point.x, point.y ); if ( j === 0 && doSetFirstPoint === true ) firstPoint.copy( point ); } break; case 'V': numbers = parseFloats( data ); for ( let j = 0, jl = numbers.length; j < jl; j ++ ) { point.y = numbers[ j ]; control.x = point.x; control.y = point.y; path.lineTo( point.x, point.y ); if ( j === 0 && doSetFirstPoint === true ) firstPoint.copy( point ); } break; case 'L': numbers = parseFloats( data ); for ( let j = 0, jl = numbers.length; j < jl; j += 2 ) { point.x = numbers[ j + 0 ]; point.y = numbers[ j + 1 ]; control.x = point.x; control.y = point.y; path.lineTo( point.x, point.y ); if ( j === 0 && doSetFirstPoint === true ) firstPoint.copy( point ); } break; case 'C': numbers = parseFloats( data ); for ( let j = 0, jl = numbers.length; j < jl; j += 6 ) { path.bezierCurveTo( numbers[ j + 0 ], numbers[ j + 1 ], numbers[ j + 2 ], numbers[ j + 3 ], numbers[ j + 4 ], numbers[ j + 5 ] ); control.x = numbers[ j + 2 ]; control.y = numbers[ j + 3 ]; point.x = numbers[ j + 4 ]; point.y = numbers[ j + 5 ]; if ( j === 0 && doSetFirstPoint === true ) firstPoint.copy( point ); } break; case 'S': numbers = parseFloats( data ); for ( let j = 0, jl = numbers.length; j < jl; j += 4 ) { path.bezierCurveTo( getReflection( point.x, control.x ), getReflection( point.y, control.y ), numbers[ j + 0 ], numbers[ j + 1 ], numbers[ j + 2 ], numbers[ j + 3 ] ); control.x = numbers[ j + 0 ]; control.y = numbers[ j + 1 ]; point.x = numbers[ j + 2 ]; point.y = numbers[ j + 3 ]; if ( j === 0 && doSetFirstPoint === true ) firstPoint.copy( point ); } break; case 'Q': numbers = parseFloats( data ); for ( let j = 0, jl = numbers.length; j < jl; j += 4 ) { path.quadraticCurveTo( numbers[ j + 0 ], numbers[ j + 1 ], numbers[ j + 2 ], numbers[ j + 3 ] ); control.x = numbers[ j + 0 ]; control.y = numbers[ j + 1 ]; point.x = numbers[ j + 2 ]; point.y = numbers[ j + 3 ]; if ( j === 0 && doSetFirstPoint === true ) firstPoint.copy( point ); } break; case 'T': numbers = parseFloats( data ); for ( let j = 0, jl = numbers.length; j < jl; j += 2 ) { const rx = getReflection( point.x, control.x ); const ry = getReflection( point.y, control.y ); path.quadraticCurveTo( rx, ry, numbers[ j + 0 ], numbers[ j + 1 ] ); control.x = rx; control.y = ry; point.x = numbers[ j + 0 ]; point.y = numbers[ j + 1 ]; if ( j === 0 && doSetFirstPoint === true ) firstPoint.copy( point ); } break; case 'A': numbers = parseFloats( data, [ 3, 4 ], 7 ); for ( let j = 0, jl = numbers.length; j < jl; j += 7 ) { // skip command if start point == end point if ( numbers[ j + 5 ] == point.x && numbers[ j + 6 ] == point.y ) continue; const start = point.clone(); point.x = numbers[ j + 5 ]; point.y = numbers[ j + 6 ]; control.x = point.x; control.y = point.y; parseArcCommand( path, numbers[ j ], numbers[ j + 1 ], numbers[ j + 2 ], numbers[ j + 3 ], numbers[ j + 4 ], start, point ); if ( j === 0 && doSetFirstPoint === true ) firstPoint.copy( point ); } break; case 'm': numbers = parseFloats( data ); for ( let j = 0, jl = numbers.length; j < jl; j += 2 ) { point.x += numbers[ j + 0 ]; point.y += numbers[ j + 1 ]; control.x = point.x; control.y = point.y; if ( j === 0 ) { path.moveTo( point.x, point.y ); } else { path.lineTo( point.x, point.y ); } if ( j === 0 ) firstPoint.copy( point ); } break; case 'h': numbers = parseFloats( data ); for ( let j = 0, jl = numbers.length; j < jl; j ++ ) { point.x += numbers[ j ]; control.x = point.x; control.y = point.y; path.lineTo( point.x, point.y ); if ( j === 0 && doSetFirstPoint === true ) firstPoint.copy( point ); } break; case 'v': numbers = parseFloats( data ); for ( let j = 0, jl = numbers.length; j < jl; j ++ ) { point.y += numbers[ j ]; control.x = point.x; control.y = point.y; path.lineTo( point.x, point.y ); if ( j === 0 && doSetFirstPoint === true ) firstPoint.copy( point ); } break; case 'l': numbers = parseFloats( data ); for ( let j = 0, jl = numbers.length; j < jl; j += 2 ) { point.x += numbers[ j + 0 ]; point.y += numbers[ j + 1 ]; control.x = point.x; control.y = point.y; path.lineTo( point.x, point.y ); if ( j === 0 && doSetFirstPoint === true ) firstPoint.copy( point ); } break; case 'c': numbers = parseFloats( data ); for ( let j = 0, jl = numbers.length; j < jl; j += 6 ) { path.bezierCurveTo( point.x + numbers[ j + 0 ], point.y + numbers[ j + 1 ], point.x + numbers[ j + 2 ], point.y + numbers[ j + 3 ], point.x + numbers[ j + 4 ], point.y + numbers[ j + 5 ] ); control.x = point.x + numbers[ j + 2 ]; control.y = point.y + numbers[ j + 3 ]; point.x += numbers[ j + 4 ]; point.y += numbers[ j + 5 ]; if ( j === 0 && doSetFirstPoint === true ) firstPoint.copy( point ); } break; case 's': numbers = parseFloats( data ); for ( let j = 0, jl = numbers.length; j < jl; j += 4 ) { path.bezierCurveTo( getReflection( point.x, control.x ), getReflection( point.y, control.y ), point.x + numbers[ j + 0 ], point.y + numbers[ j + 1 ], point.x + numbers[ j + 2 ], point.y + numbers[ j + 3 ] ); control.x = point.x + numbers[ j + 0 ]; control.y = point.y + numbers[ j + 1 ]; point.x += numbers[ j + 2 ]; point.y += numbers[ j + 3 ]; if ( j === 0 && doSetFirstPoint === true ) firstPoint.copy( point ); } break; case 'q': numbers = parseFloats( data ); for ( let j = 0, jl = numbers.length; j < jl; j += 4 ) { path.quadraticCurveTo( point.x + numbers[ j + 0 ], point.y + numbers[ j + 1 ], point.x + numbers[ j + 2 ], point.y + numbers[ j + 3 ] ); control.x = point.x + numbers[ j + 0 ]; control.y = point.y + numbers[ j + 1 ]; point.x += numbers[ j + 2 ]; point.y += numbers[ j + 3 ]; if ( j === 0 && doSetFirstPoint === true ) firstPoint.copy( point ); } break; case 't': numbers = parseFloats( data ); for ( let j = 0, jl = numbers.length; j < jl; j += 2 ) { const rx = getReflection( point.x, control.x ); const ry = getReflection( point.y, control.y ); path.quadraticCurveTo( rx, ry, point.x + numbers[ j + 0 ], point.y + numbers[ j + 1 ] ); control.x = rx; control.y = ry; point.x = point.x + numbers[ j + 0 ]; point.y = point.y + numbers[ j + 1 ]; if ( j === 0 && doSetFirstPoint === true ) firstPoint.copy( point ); } break; case 'a': numbers = parseFloats( data, [ 3, 4 ], 7 ); for ( let j = 0, jl = numbers.length; j < jl; j += 7 ) { // skip command if no displacement if ( numbers[ j + 5 ] == 0 && numbers[ j + 6 ] == 0 ) continue; const start = point.clone(); point.x += numbers[ j + 5 ]; point.y += numbers[ j + 6 ]; control.x = point.x; control.y = point.y; parseArcCommand( path, numbers[ j ], numbers[ j + 1 ], numbers[ j + 2 ], numbers[ j + 3 ], numbers[ j + 4 ], start, point ); if ( j === 0 && doSetFirstPoint === true ) firstPoint.copy( point ); } break; case 'Z': case 'z': path.currentPath.autoClose = true; if ( path.currentPath.curves.length > 0 ) { // Reset point to beginning of THREE.Path point.copy( firstPoint ); path.currentPath.currentPoint.copy( point ); isFirstPoint = true; } break; default: console.warn( command ); } // console.log( type, parseFloats( data ), parseFloats( data ).length ) doSetFirstPoint = false; } return path; } function parseCSSStylesheet( node ) { if ( ! node.sheet || ! node.sheet.cssRules || ! node.sheet.cssRules.length ) return; for ( let i = 0; i < node.sheet.cssRules.length; i ++ ) { const stylesheet = node.sheet.cssRules[ i ]; if ( stylesheet.type !== 1 ) continue; const selectorList = stylesheet.selectorText.split( /,/gm ).filter( Boolean ).map( i => i.trim() ); for ( let j = 0; j < selectorList.length; j ++ ) { // Remove empty rules const definitions = Object.fromEntries( Object.entries( stylesheet.style ).filter( ( [ , v ] ) => v !== '' ) ); stylesheets[ selectorList[ j ] ] = Object.assign( stylesheets[ selectorList[ j ] ] || {}, definitions ); } } } /** * https://www.w3.org/TR/SVG/implnote.html#ArcImplementationNotes * https://mortoray.com/2017/02/16/rendering-an-svg-elliptical-arc-as-bezier-curves/ Appendix: Endpoint to center arc conversion * From * rx ry x-axis-rotation large-arc-flag sweep-flag x y * To * aX, aY, xRadius, yRadius, aStartAngle, aEndAngle, aClockwise, aRotation */ function parseArcCommand( path, rx, ry, x_axis_rotation, large_arc_flag, sweep_flag, start, end ) { if ( rx == 0 || ry == 0 ) { // draw a line if either of the radii == 0 path.lineTo( end.x, end.y ); return; } x_axis_rotation = x_axis_rotation * Math.PI / 180; // Ensure radii are positive rx = Math.abs( rx ); ry = Math.abs( ry ); // Compute (x1', y1') const dx2 = ( start.x - end.x ) / 2.0; const dy2 = ( start.y - end.y ) / 2.0; const x1p = Math.cos( x_axis_rotation ) * dx2 + Math.sin( x_axis_rotation ) * dy2; const y1p = - Math.sin( x_axis_rotation ) * dx2 + Math.cos( x_axis_rotation ) * dy2; // Compute (cx', cy') let rxs = rx * rx; let rys = ry * ry; const x1ps = x1p * x1p; const y1ps = y1p * y1p; // Ensure radii are large enough const cr = x1ps / rxs + y1ps / rys; if ( cr > 1 ) { // scale up rx,ry equally so cr == 1 const s = Math.sqrt( cr ); rx = s * rx; ry = s * ry; rxs = rx * rx; rys = ry * ry; } const dq = rxs * y1ps + rys * x1ps; const pq = ( rxs * rys - dq ) / dq; let q = Math.sqrt( Math.max( 0, pq ) ); if ( large_arc_flag === sweep_flag ) q = - q; const cxp = q * rx * y1p / ry; const cyp = - q * ry * x1p / rx; // Step 3: Compute (cx, cy) from (cx', cy') const cx = Math.cos( x_axis_rotation ) * cxp - Math.sin( x_axis_rotation ) * cyp + ( start.x + end.x ) / 2; const cy = Math.sin( x_axis_rotation ) * cxp + Math.cos( x_axis_rotation ) * cyp + ( start.y + end.y ) / 2; // Step 4: Compute θ1 and Δθ const theta = svgAngle( 1, 0, ( x1p - cxp ) / rx, ( y1p - cyp ) / ry ); const delta = svgAngle( ( x1p - cxp ) / rx, ( y1p - cyp ) / ry, ( - x1p - cxp ) / rx, ( - y1p - cyp ) / ry ) % ( Math.PI * 2 ); path.currentPath.absellipse( cx, cy, rx, ry, theta, theta + delta, sweep_flag === 0, x_axis_rotation ); } function svgAngle( ux, uy, vx, vy ) { const dot = ux * vx + uy * vy; const len = Math.sqrt( ux * ux + uy * uy ) * Math.sqrt( vx * vx + vy * vy ); let ang = Math.acos( Math.max( - 1, Math.min( 1, dot / len ) ) ); // floating point precision, slightly over values appear if ( ux * vy - uy * vx < 0 ) ang = - ang; return ang; } /* * According to https://www.w3.org/TR/SVG/shapes.html#RectElementRXAttribute * rounded corner should be rendered to elliptical arc, but bezier curve does the job well enough */ function parseRectNode( node ) { const x = parseFloatWithUnits( node.getAttribute( 'x' ) || 0 ); const y = parseFloatWithUnits( node.getAttribute( 'y' ) || 0 ); const rx = parseFloatWithUnits( node.getAttribute( 'rx' ) || node.getAttribute( 'ry' ) || 0 ); const ry = parseFloatWithUnits( node.getAttribute( 'ry' ) || node.getAttribute( 'rx' ) || 0 ); const w = parseFloatWithUnits( node.getAttribute( 'width' ) ); const h = parseFloatWithUnits( node.getAttribute( 'height' ) ); // Ellipse arc to Bezier approximation Coefficient (Inversed). See: // https://spencermortensen.com/articles/bezier-circle/ const bci = 1 - 0.551915024494; const path = new THREE.ShapePath(); // top left path.moveTo( x + rx, y ); // top right path.lineTo( x + w - rx, y ); if ( rx !== 0 || ry !== 0 ) { path.bezierCurveTo( x + w - rx * bci, y, x + w, y + ry * bci, x + w, y + ry ); } // bottom right path.lineTo( x + w, y + h - ry ); if ( rx !== 0 || ry !== 0 ) { path.bezierCurveTo( x + w, y + h - ry * bci, x + w - rx * bci, y + h, x + w - rx, y + h ); } // bottom left path.lineTo( x + rx, y + h ); if ( rx !== 0 || ry !== 0 ) { path.bezierCurveTo( x + rx * bci, y + h, x, y + h - ry * bci, x, y + h - ry ); } // back to top left path.lineTo( x, y + ry ); if ( rx !== 0 || ry !== 0 ) { path.bezierCurveTo( x, y + ry * bci, x + rx * bci, y, x + rx, y ); } return path; } function parsePolygonNode( node ) { function iterator( match, a, b ) { const x = parseFloatWithUnits( a ); const y = parseFloatWithUnits( b ); if ( index === 0 ) { path.moveTo( x, y ); } else { path.lineTo( x, y ); } index ++; } const regex = /(-?[\d\.?]+)[,|\s](-?[\d\.?]+)/g; const path = new THREE.ShapePath(); let index = 0; node.getAttribute( 'points' ).replace( regex, iterator ); path.currentPath.autoClose = true; return path; } function parsePolylineNode( node ) { function iterator( match, a, b ) { const x = parseFloatWithUnits( a ); const y = parseFloatWithUnits( b ); if ( index === 0 ) { path.moveTo( x, y ); } else { path.lineTo( x, y ); } index ++; } const regex = /(-?[\d\.?]+)[,|\s](-?[\d\.?]+)/g; const path = new THREE.ShapePath(); let index = 0; node.getAttribute( 'points' ).replace( regex, iterator ); path.currentPath.autoClose = false; return path; } function parseCircleNode( node ) { const x = parseFloatWithUnits( node.getAttribute( 'cx' ) || 0 ); const y = parseFloatWithUnits( node.getAttribute( 'cy' ) || 0 ); const r = parseFloatWithUnits( node.getAttribute( 'r' ) || 0 ); const subpath = new THREE.Path(); subpath.absarc( x, y, r, 0, Math.PI * 2 ); const path = new THREE.ShapePath(); path.subPaths.push( subpath ); return path; } function parseEllipseNode( node ) { const x = parseFloatWithUnits( node.getAttribute( 'cx' ) || 0 ); const y = parseFloatWithUnits( node.getAttribute( 'cy' ) || 0 ); const rx = parseFloatWithUnits( node.getAttribute( 'rx' ) || 0 ); const ry = parseFloatWithUnits( node.getAttribute( 'ry' ) || 0 ); const subpath = new THREE.Path(); subpath.absellipse( x, y, rx, ry, 0, Math.PI * 2 ); const path = new THREE.ShapePath(); path.subPaths.push( subpath ); return path; } function parseLineNode( node ) { const x1 = parseFloatWithUnits( node.getAttribute( 'x1' ) || 0 ); const y1 = parseFloatWithUnits( node.getAttribute( 'y1' ) || 0 ); const x2 = parseFloatWithUnits( node.getAttribute( 'x2' ) || 0 ); const y2 = parseFloatWithUnits( node.getAttribute( 'y2' ) || 0 ); const path = new THREE.ShapePath(); path.moveTo( x1, y1 ); path.lineTo( x2, y2 ); path.currentPath.autoClose = false; return path; } // function parseStyle( node, style ) { style = Object.assign( {}, style ); // clone style let stylesheetStyles = {}; if ( node.hasAttribute( 'class' ) ) { const classSelectors = node.getAttribute( 'class' ).split( /\s/ ).filter( Boolean ).map( i => i.trim() ); for ( let i = 0; i < classSelectors.length; i ++ ) { stylesheetStyles = Object.assign( stylesheetStyles, stylesheets[ '.' + classSelectors[ i ] ] ); } } if ( node.hasAttribute( 'id' ) ) { stylesheetStyles = Object.assign( stylesheetStyles, stylesheets[ '#' + node.getAttribute( 'id' ) ] ); } function addStyle( svgName, jsName, adjustFunction ) { if ( adjustFunction === undefined ) adjustFunction = function copy( v ) { if ( v.startsWith( 'url' ) ) console.warn( 'SVGLoader: url access in attributes is not implemented.' ); return v; }; if ( node.hasAttribute( svgName ) ) style[ jsName ] = adjustFunction( node.getAttribute( svgName ) ); if ( stylesheetStyles[ svgName ] ) style[ jsName ] = adjustFunction( stylesheetStyles[ svgName ] ); if ( node.style && node.style[ svgName ] !== '' ) style[ jsName ] = adjustFunction( node.style[ svgName ] ); } function clamp( v ) { return Math.max( 0, Math.min( 1, parseFloatWithUnits( v ) ) ); } function positive( v ) { return Math.max( 0, parseFloatWithUnits( v ) ); } addStyle( 'fill', 'fill' ); addStyle( 'fill-opacity', 'fillOpacity', clamp ); addStyle( 'fill-rule', 'fillRule' ); addStyle( 'opacity', 'opacity', clamp ); addStyle( 'stroke', 'stroke' ); addStyle( 'stroke-opacity', 'strokeOpacity', clamp ); addStyle( 'stroke-width', 'strokeWidth', positive ); addStyle( 'stroke-linejoin', 'strokeLineJoin' ); addStyle( 'stroke-linecap', 'strokeLineCap' ); addStyle( 'stroke-miterlimit', 'strokeMiterLimit', positive ); addStyle( 'visibility', 'visibility' ); return style; } // http://www.w3.org/TR/SVG11/implnote.html#PathElementImplementationNotes function getReflection( a, b ) { return a - ( b - a ); } // from https://github.com/ppvg/svg-numbers (MIT License) function parseFloats( input, flags, stride ) { if ( typeof input !== 'string' ) { throw new TypeError( 'Invalid input: ' + typeof input ); } // Character groups const RE = { SEPARATOR: /[ \t\r\n\,.\-+]/, WHITESPACE: /[ \t\r\n]/, DIGIT: /[\d]/, SIGN: /[-+]/, POINT: /\./, COMMA: /,/, EXP: /e/i, FLAGS: /[01]/ }; // States const SEP = 0; const INT = 1; const FLOAT = 2; const EXP = 3; let state = SEP; let seenComma = true; let number = '', exponent = ''; const result = []; function throwSyntaxError( current, i, partial ) { const error = new SyntaxError( 'Unexpected character "' + current + '" at index ' + i + '.' ); error.partial = partial; throw error; } function newNumber() { if ( number !== '' ) { if ( exponent === '' ) result.push( Number( number ) ); else result.push( Number( number ) * Math.pow( 10, Number( exponent ) ) ); } number = ''; exponent = ''; } let current; const length = input.length; for ( let i = 0; i < length; i ++ ) { current = input[ i ]; // check for flags if ( Array.isArray( flags ) && flags.includes( result.length % stride ) && RE.FLAGS.test( current ) ) { state = INT; number = current; newNumber(); continue; } // parse until next number if ( state === SEP ) { // eat whitespace if ( RE.WHITESPACE.test( current ) ) { continue; } // start new number if ( RE.DIGIT.test( current ) || RE.SIGN.test( current ) ) { state = INT; number = current; continue; } if ( RE.POINT.test( current ) ) { state = FLOAT; number = current; continue; } // throw on double commas (e.g. "1, , 2") if ( RE.COMMA.test( current ) ) { if ( seenComma ) { throwSyntaxError( current, i, result ); } seenComma = true; } } // parse integer part if ( state === INT ) { if ( RE.DIGIT.test( current ) ) { number += current; continue; } if ( RE.POINT.test( current ) ) { number += current; state = FLOAT; continue; } if ( RE.EXP.test( current ) ) { state = EXP; continue; } // throw on double signs ("-+1"), but not on sign as separator ("-1-2") if ( RE.SIGN.test( current ) && number.length === 1 && RE.SIGN.test( number[ 0 ] ) ) { throwSyntaxError( current, i, result ); } } // parse decimal part if ( state === FLOAT ) { if ( RE.DIGIT.test( current ) ) { number += current; continue; } if ( RE.EXP.test( current ) ) { state = EXP; continue; } // throw on double decimal points (e.g. "1..2") if ( RE.POINT.test( current ) && number[ number.length - 1 ] === '.' ) { throwSyntaxError( current, i, result ); } } // parse exponent part if ( state === EXP ) { if ( RE.DIGIT.test( current ) ) { exponent += current; continue; } if ( RE.SIGN.test( current ) ) { if ( exponent === '' ) { exponent += current; continue; } if ( exponent.length === 1 && RE.SIGN.test( exponent ) ) { throwSyntaxError( current, i, result ); } } } // end of number if ( RE.WHITESPACE.test( current ) ) { newNumber(); state = SEP; seenComma = false; } else if ( RE.COMMA.test( current ) ) { newNumber(); state = SEP; seenComma = true; } else if ( RE.SIGN.test( current ) ) { newNumber(); state = INT; number = current; } else if ( RE.POINT.test( current ) ) { newNumber(); state = FLOAT; number = current; } else { throwSyntaxError( current, i, result ); } } // add the last number found (if any) newNumber(); return result; } // Units const units = [ 'mm', 'cm', 'in', 'pt', 'pc', 'px' ]; // Conversion: [ fromUnit ][ toUnit ] (-1 means dpi dependent) const unitConversion = { 'mm': { 'mm': 1, 'cm': 0.1, 'in': 1 / 25.4, 'pt': 72 / 25.4, 'pc': 6 / 25.4, 'px': - 1 }, 'cm': { 'mm': 10, 'cm': 1, 'in': 1 / 2.54, 'pt': 72 / 2.54, 'pc': 6 / 2.54, 'px': - 1 }, 'in': { 'mm': 25.4, 'cm': 2.54, 'in': 1, 'pt': 72, 'pc': 6, 'px': - 1 }, 'pt': { 'mm': 25.4 / 72, 'cm': 2.54 / 72, 'in': 1 / 72, 'pt': 1, 'pc': 6 / 72, 'px': - 1 }, 'pc': { 'mm': 25.4 / 6, 'cm': 2.54 / 6, 'in': 1 / 6, 'pt': 72 / 6, 'pc': 1, 'px': - 1 }, 'px': { 'px': 1 } }; function parseFloatWithUnits( string ) { let theUnit = 'px'; if ( typeof string === 'string' || string instanceof String ) { for ( let i = 0, n = units.length; i < n; i ++ ) { const u = units[ i ]; if ( string.endsWith( u ) ) { theUnit = u; string = string.substring( 0, string.length - u.length ); break; } } } let scale = undefined; if ( theUnit === 'px' && scope.defaultUnit !== 'px' ) { // Conversion scale from pixels to inches, then to default units scale = unitConversion[ 'in' ][ scope.defaultUnit ] / scope.defaultDPI; } else { scale = unitConversion[ theUnit ][ scope.defaultUnit ]; if ( scale < 0 ) { // Conversion scale to pixels scale = unitConversion[ theUnit ][ 'in' ] * scope.defaultDPI; } } return scale * parseFloat( string ); } // Transforms function getNodeTransform( node ) { if ( ! ( node.hasAttribute( 'transform' ) || node.nodeName === 'use' && ( node.hasAttribute( 'x' ) || node.hasAttribute( 'y' ) ) ) ) { return null; } const transform = parseNodeTransform( node ); if ( transformStack.length > 0 ) { transform.premultiply( transformStack[ transformStack.length - 1 ] ); } currentTransform.copy( transform ); transformStack.push( transform ); return transform; } function parseNodeTransform( node ) { const transform = new THREE.Matrix3(); const currentTransform = tempTransform0; if ( node.nodeName === 'use' && ( node.hasAttribute( 'x' ) || node.hasAttribute( 'y' ) ) ) { const tx = parseFloatWithUnits( node.getAttribute( 'x' ) ); const ty = parseFloatWithUnits( node.getAttribute( 'y' ) ); transform.translate( tx, ty ); } if ( node.hasAttribute( 'transform' ) ) { const transformsTexts = node.getAttribute( 'transform' ).split( ')' ); for ( let tIndex = transformsTexts.length - 1; tIndex >= 0; tIndex -- ) { const transformText = transformsTexts[ tIndex ].trim(); if ( transformText === '' ) continue; const openParPos = transformText.indexOf( '(' ); const closeParPos = transformText.length; if ( openParPos > 0 && openParPos < closeParPos ) { const transformType = transformText.slice( 0, openParPos ); const array = parseFloats( transformText.slice( openParPos + 1 ) ); currentTransform.identity(); switch ( transformType ) { case 'translate': if ( array.length >= 1 ) { const tx = array[ 0 ]; let ty = 0; if ( array.length >= 2 ) { ty = array[ 1 ]; } currentTransform.translate( tx, ty ); } break; case 'rotate': if ( array.length >= 1 ) { let angle = 0; let cx = 0; let cy = 0; // Angle angle = - array[ 0 ] * Math.PI / 180; if ( array.length >= 3 ) { // Center x, y cx = array[ 1 ]; cy = array[ 2 ]; } // Rotate around center (cx, cy) tempTransform1.identity().translate( - cx, - cy ); tempTransform2.identity().rotate( angle ); tempTransform3.multiplyMatrices( tempTransform2, tempTransform1 ); tempTransform1.identity().translate( cx, cy ); currentTransform.multiplyMatrices( tempTransform1, tempTransform3 ); } break; case 'scale': if ( array.length >= 1 ) { const scaleX = array[ 0 ]; let scaleY = scaleX; if ( array.length >= 2 ) { scaleY = array[ 1 ]; } currentTransform.scale( scaleX, scaleY ); } break; case 'skewX': if ( array.length === 1 ) { currentTransform.set( 1, Math.tan( array[ 0 ] * Math.PI / 180 ), 0, 0, 1, 0, 0, 0, 1 ); } break; case 'skewY': if ( array.length === 1 ) { currentTransform.set( 1, 0, 0, Math.tan( array[ 0 ] * Math.PI / 180 ), 1, 0, 0, 0, 1 ); } break; case 'matrix': if ( array.length === 6 ) { currentTransform.set( array[ 0 ], array[ 2 ], array[ 4 ], array[ 1 ], array[ 3 ], array[ 5 ], 0, 0, 1 ); } break; } } transform.premultiply( currentTransform ); } } return transform; } function transformPath( path, m ) { function transfVec2( v2 ) { tempV3.set( v2.x, v2.y, 1 ).applyMatrix3( m ); v2.set( tempV3.x, tempV3.y ); } const isRotated = isTransformRotated( m ); const subPaths = path.subPaths; for ( let i = 0, n = subPaths.length; i < n; i ++ ) { const subPath = subPaths[ i ]; const curves = subPath.curves; for ( let j = 0; j < curves.length; j ++ ) { const curve = curves[ j ]; if ( curve.isLineCurve ) { transfVec2( curve.v1 ); transfVec2( curve.v2 ); } else if ( curve.isCubicBezierCurve ) { transfVec2( curve.v0 ); transfVec2( curve.v1 ); transfVec2( curve.v2 ); transfVec2( curve.v3 ); } else if ( curve.isQuadraticBezierCurve ) { transfVec2( curve.v0 ); transfVec2( curve.v1 ); transfVec2( curve.v2 ); } else if ( curve.isEllipseCurve ) { if ( isRotated ) { console.warn( 'SVGLoader: Elliptic arc or ellipse rotation or skewing is not implemented.' ); } tempV2.set( curve.aX, curve.aY ); transfVec2( tempV2 ); curve.aX = tempV2.x; curve.aY = tempV2.y; curve.xRadius *= getTransformScaleX( m ); curve.yRadius *= getTransformScaleY( m ); } } } } function isTransformRotated( m ) { return m.elements[ 1 ] !== 0 || m.elements[ 3 ] !== 0; } function getTransformScaleX( m ) { const te = m.elements; return Math.sqrt( te[ 0 ] * te[ 0 ] + te[ 1 ] * te[ 1 ] ); } function getTransformScaleY( m ) { const te = m.elements; return Math.sqrt( te[ 3 ] * te[ 3 ] + te[ 4 ] * te[ 4 ] ); } // const paths = []; const stylesheets = {}; const transformStack = []; const tempTransform0 = new THREE.Matrix3(); const tempTransform1 = new THREE.Matrix3(); const tempTransform2 = new THREE.Matrix3(); const tempTransform3 = new THREE.Matrix3(); const tempV2 = new THREE.Vector2(); const tempV3 = new THREE.Vector3(); const currentTransform = new THREE.Matrix3(); const xml = new DOMParser().parseFromString( text, 'image/svg+xml' ); // application/xml parseNode( xml.documentElement, { fill: '#000', fillOpacity: 1, strokeOpacity: 1, strokeWidth: 1, strokeLineJoin: 'miter', strokeLineCap: 'butt', strokeMiterLimit: 4 } ); const data = { paths: paths, xml: xml.documentElement }; // console.log( paths ); return data; } static createShapes( shapePath ) { // Param shapePath: a shapepath as returned by the parse function of this class // Returns THREE.Shape object const BIGNUMBER = 999999999; const IntersectionLocationType = { ORIGIN: 0, DESTINATION: 1, BETWEEN: 2, LEFT: 3, RIGHT: 4, BEHIND: 5, BEYOND: 6 }; const classifyResult = { loc: IntersectionLocationType.ORIGIN, t: 0 }; function findEdgeIntersection( a0, a1, b0, b1 ) { const x1 = a0.x; const x2 = a1.x; const x3 = b0.x; const x4 = b1.x; const y1 = a0.y; const y2 = a1.y; const y3 = b0.y; const y4 = b1.y; const nom1 = ( x4 - x3 ) * ( y1 - y3 ) - ( y4 - y3 ) * ( x1 - x3 ); const nom2 = ( x2 - x1 ) * ( y1 - y3 ) - ( y2 - y1 ) * ( x1 - x3 ); const denom = ( y4 - y3 ) * ( x2 - x1 ) - ( x4 - x3 ) * ( y2 - y1 ); const t1 = nom1 / denom; const t2 = nom2 / denom; if ( denom === 0 && nom1 !== 0 || t1 <= 0 || t1 >= 1 || t2 < 0 || t2 > 1 ) { //1. lines are parallel or edges don't intersect return null; } else if ( nom1 === 0 && denom === 0 ) { //2. lines are colinear //check if endpoints of edge2 (b0-b1) lies on edge1 (a0-a1) for ( let i = 0; i < 2; i ++ ) { classifyPoint( i === 0 ? b0 : b1, a0, a1 ); //find position of this endpoints relatively to edge1 if ( classifyResult.loc == IntersectionLocationType.ORIGIN ) { const point = i === 0 ? b0 : b1; return { x: point.x, y: point.y, t: classifyResult.t }; } else if ( classifyResult.loc == IntersectionLocationType.BETWEEN ) { const x = + ( x1 + classifyResult.t * ( x2 - x1 ) ).toPrecision( 10 ); const y = + ( y1 + classifyResult.t * ( y2 - y1 ) ).toPrecision( 10 ); return { x: x, y: y, t: classifyResult.t }; } } return null; } else { //3. edges intersect for ( let i = 0; i < 2; i ++ ) { classifyPoint( i === 0 ? b0 : b1, a0, a1 ); if ( classifyResult.loc == IntersectionLocationType.ORIGIN ) { const point = i === 0 ? b0 : b1; return { x: point.x, y: point.y, t: classifyResult.t }; } } const x = + ( x1 + t1 * ( x2 - x1 ) ).toPrecision( 10 ); const y = + ( y1 + t1 * ( y2 - y1 ) ).toPrecision( 10 ); return { x: x, y: y, t: t1 }; } } function classifyPoint( p, edgeStart, edgeEnd ) { const ax = edgeEnd.x - edgeStart.x; const ay = edgeEnd.y - edgeStart.y; const bx = p.x - edgeStart.x; const by = p.y - edgeStart.y; const sa = ax * by - bx * ay; if ( p.x === edgeStart.x && p.y === edgeStart.y ) { classifyResult.loc = IntersectionLocationType.ORIGIN; classifyResult.t = 0; return; } if ( p.x === edgeEnd.x && p.y === edgeEnd.y ) { classifyResult.loc = IntersectionLocationType.DESTINATION; classifyResult.t = 1; return; } if ( sa < - Number.EPSILON ) { classifyResult.loc = IntersectionLocationType.LEFT; return; } if ( sa > Number.EPSILON ) { classifyResult.loc = IntersectionLocationType.RIGHT; return; } if ( ax * bx < 0 || ay * by < 0 ) { classifyResult.loc = IntersectionLocationType.BEHIND; return; } if ( Math.sqrt( ax * ax + ay * ay ) < Math.sqrt( bx * bx + by * by ) ) { classifyResult.loc = IntersectionLocationType.BEYOND; return; } let t; if ( ax !== 0 ) { t = bx / ax; } else { t = by / ay; } classifyResult.loc = IntersectionLocationType.BETWEEN; classifyResult.t = t; } function getIntersections( path1, path2 ) { const intersectionsRaw = []; const intersections = []; for ( let index = 1; index < path1.length; index ++ ) { const path1EdgeStart = path1[ index - 1 ]; const path1EdgeEnd = path1[ index ]; for ( let index2 = 1; index2 < path2.length; index2 ++ ) { const path2EdgeStart = path2[ index2 - 1 ]; const path2EdgeEnd = path2[ index2 ]; const intersection = findEdgeIntersection( path1EdgeStart, path1EdgeEnd, path2EdgeStart, path2EdgeEnd ); if ( intersection !== null && intersectionsRaw.find( i => i.t <= intersection.t + Number.EPSILON && i.t >= intersection.t - Number.EPSILON ) === undefined ) { intersectionsRaw.push( intersection ); intersections.push( new THREE.Vector2( intersection.x, intersection.y ) ); } } } return intersections; } function getScanlineIntersections( scanline, boundingBox, paths ) { const center = new THREE.Vector2(); boundingBox.getCenter( center ); const allIntersections = []; paths.forEach( path => { // check if the center of the bounding box is in the bounding box of the paths. // this is a pruning method to limit the search of intersections in paths that can't envelop of the current path. // if a path envelops another path. The center of that oter path, has to be inside the bounding box of the enveloping path. if ( path.boundingBox.containsPoint( center ) ) { const intersections = getIntersections( scanline, path.points ); intersections.forEach( p => { allIntersections.push( { identifier: path.identifier, isCW: path.isCW, point: p } ); } ); } } ); allIntersections.sort( ( i1, i2 ) => { return i1.point.x - i2.point.x; } ); return allIntersections; } function isHoleTo( simplePath, allPaths, scanlineMinX, scanlineMaxX, _fillRule ) { if ( _fillRule === null || _fillRule === undefined || _fillRule === '' ) { _fillRule = 'nonzero'; } const centerBoundingBox = new THREE.Vector2(); simplePath.boundingBox.getCenter( centerBoundingBox ); const scanline = [ new THREE.Vector2( scanlineMinX, centerBoundingBox.y ), new THREE.Vector2( scanlineMaxX, centerBoundingBox.y ) ]; const scanlineIntersections = getScanlineIntersections( scanline, simplePath.boundingBox, allPaths ); scanlineIntersections.sort( ( i1, i2 ) => { return i1.point.x - i2.point.x; } ); const baseIntersections = []; const otherIntersections = []; scanlineIntersections.forEach( i => { if ( i.identifier === simplePath.identifier ) { baseIntersections.push( i ); } else { otherIntersections.push( i ); } } ); const firstXOfPath = baseIntersections[ 0 ].point.x; // build up the path hierarchy const stack = []; let i = 0; while ( i < otherIntersections.length && otherIntersections[ i ].point.x < firstXOfPath ) { if ( stack.length > 0 && stack[ stack.length - 1 ] === otherIntersections[ i ].identifier ) { stack.pop(); } else { stack.push( otherIntersections[ i ].identifier ); } i ++; } stack.push( simplePath.identifier ); if ( _fillRule === 'evenodd' ) { const isHole = stack.length % 2 === 0 ? true : false; const isHoleFor = stack[ stack.length - 2 ]; return { identifier: simplePath.identifier, isHole: isHole, for: isHoleFor }; } else if ( _fillRule === 'nonzero' ) { // check if path is a hole by counting the amount of paths with alternating rotations it has to cross. let isHole = true; let isHoleFor = null; let lastCWValue = null; for ( let i = 0; i < stack.length; i ++ ) { const identifier = stack[ i ]; if ( isHole ) { lastCWValue = allPaths[ identifier ].isCW; isHole = false; isHoleFor = identifier; } else if ( lastCWValue !== allPaths[ identifier ].isCW ) { lastCWValue = allPaths[ identifier ].isCW; isHole = true; } } return { identifier: simplePath.identifier, isHole: isHole, for: isHoleFor }; } else { console.warn( 'fill-rule: "' + _fillRule + '" is currently not implemented.' ); } } // check for self intersecting paths // TODO // check intersecting paths // TODO // prepare paths for hole detection let identifier = 0; let scanlineMinX = BIGNUMBER; let scanlineMaxX = - BIGNUMBER; let simplePaths = shapePath.subPaths.map( p => { const points = p.getPoints(); let maxY = - BIGNUMBER; let minY = BIGNUMBER; let maxX = - BIGNUMBER; let minX = BIGNUMBER; //points.forEach(p => p.y *= -1); for ( let i = 0; i < points.length; i ++ ) { const p = points[ i ]; if ( p.y > maxY ) { maxY = p.y; } if ( p.y < minY ) { minY = p.y; } if ( p.x > maxX ) { maxX = p.x; } if ( p.x < minX ) { minX = p.x; } } // if ( scanlineMaxX <= maxX ) { scanlineMaxX = maxX + 1; } if ( scanlineMinX >= minX ) { scanlineMinX = minX - 1; } return { curves: p.curves, points: points, isCW: THREE.ShapeUtils.isClockWise( points ), identifier: identifier ++, boundingBox: new THREE.Box2( new THREE.Vector2( minX, minY ), new THREE.Vector2( maxX, maxY ) ) }; } ); simplePaths = simplePaths.filter( sp => sp.points.length > 1 ); // check if path is solid or a hole const isAHole = simplePaths.map( p => isHoleTo( p, simplePaths, scanlineMinX, scanlineMaxX, shapePath.userData?.style.fillRule ) ); const shapesToReturn = []; simplePaths.forEach( p => { const amIAHole = isAHole[ p.identifier ]; if ( ! amIAHole.isHole ) { const shape = new THREE.Shape(); shape.curves = p.curves; const holes = isAHole.filter( h => h.isHole && h.for === p.identifier ); holes.forEach( h => { const hole = simplePaths[ h.identifier ]; const path = new THREE.Path(); path.curves = hole.curves; shape.holes.push( path ); } ); shapesToReturn.push( shape ); } } ); return shapesToReturn; } static getStrokeStyle( width, color, lineJoin, lineCap, miterLimit ) { // Param width: Stroke width // Param color: As returned by THREE.Color.getStyle() // Param lineJoin: One of "round", "bevel", "miter" or "miter-limit" // Param lineCap: One of "round", "square" or "butt" // Param miterLimit: Maximum join length, in multiples of the "width" parameter (join is truncated if it exceeds that distance) // Returns style object width = width !== undefined ? width : 1; color = color !== undefined ? color : '#000'; lineJoin = lineJoin !== undefined ? lineJoin : 'miter'; lineCap = lineCap !== undefined ? lineCap : 'butt'; miterLimit = miterLimit !== undefined ? miterLimit : 4; return { strokeColor: color, strokeWidth: width, strokeLineJoin: lineJoin, strokeLineCap: lineCap, strokeMiterLimit: miterLimit }; } static pointsToStroke( points, style, arcDivisions, minDistance ) { // Generates a stroke with some witdh around the given path. // The path can be open or closed (last point equals to first point) // Param points: Array of Vector2D (the path). Minimum 2 points. // Param style: Object with SVG properties as returned by SVGLoader.getStrokeStyle(), or SVGLoader.parse() in the path.userData.style object // Params arcDivisions: Arc divisions for round joins and endcaps. (Optional) // Param minDistance: Points closer to this distance will be merged. (Optional) // Returns THREE.BufferGeometry with stroke triangles (In plane z = 0). UV coordinates are generated ('u' along path. 'v' across it, from left to right) const vertices = []; const normals = []; const uvs = []; if ( SVGLoader.pointsToStrokeWithBuffers( points, style, arcDivisions, minDistance, vertices, normals, uvs ) === 0 ) { return null; } const geometry = new THREE.BufferGeometry(); geometry.setAttribute( 'position', new THREE.Float32BufferAttribute( vertices, 3 ) ); geometry.setAttribute( 'normal', new THREE.Float32BufferAttribute( normals, 3 ) ); geometry.setAttribute( 'uv', new THREE.Float32BufferAttribute( uvs, 2 ) ); return geometry; } static pointsToStrokeWithBuffers( points, style, arcDivisions, minDistance, vertices, normals, uvs, vertexOffset ) { // This function can be called to update existing arrays or buffers. // Accepts same parameters as pointsToStroke, plus the buffers and optional offset. // Param vertexOffset: Offset vertices to start writing in the buffers (3 elements/vertex for vertices and normals, and 2 elements/vertex for uvs) // Returns number of written vertices / normals / uvs pairs // if 'vertices' parameter is undefined no triangles will be generated, but the returned vertices count will still be valid (useful to preallocate the buffers) // 'normals' and 'uvs' buffers are optional const tempV2_1 = new THREE.Vector2(); const tempV2_2 = new THREE.Vector2(); const tempV2_3 = new THREE.Vector2(); const tempV2_4 = new THREE.Vector2(); const tempV2_5 = new THREE.Vector2(); const tempV2_6 = new THREE.Vector2(); const tempV2_7 = new THREE.Vector2(); const lastPointL = new THREE.Vector2(); const lastPointR = new THREE.Vector2(); const point0L = new THREE.Vector2(); const point0R = new THREE.Vector2(); const currentPointL = new THREE.Vector2(); const currentPointR = new THREE.Vector2(); const nextPointL = new THREE.Vector2(); const nextPointR = new THREE.Vector2(); const innerPoint = new THREE.Vector2(); const outerPoint = new THREE.Vector2(); arcDivisions = arcDivisions !== undefined ? arcDivisions : 12; minDistance = minDistance !== undefined ? minDistance : 0.001; vertexOffset = vertexOffset !== undefined ? vertexOffset : 0; // First ensure there are no duplicated points points = removeDuplicatedPoints( points ); const numPoints = points.length; if ( numPoints < 2 ) return 0; const isClosed = points[ 0 ].equals( points[ numPoints - 1 ] ); let currentPoint; let previousPoint = points[ 0 ]; let nextPoint; const strokeWidth2 = style.strokeWidth / 2; const deltaU = 1 / ( numPoints - 1 ); let u0 = 0, u1; let innerSideModified; let joinIsOnLeftSide; let isMiter; let initialJoinIsOnLeftSide = false; let numVertices = 0; let currentCoordinate = vertexOffset * 3; let currentCoordinateUV = vertexOffset * 2; // Get initial left and right stroke points getNormal( points[ 0 ], points[ 1 ], tempV2_1 ).multiplyScalar( strokeWidth2 ); lastPointL.copy( points[ 0 ] ).sub( tempV2_1 ); lastPointR.copy( points[ 0 ] ).add( tempV2_1 ); point0L.copy( lastPointL ); point0R.copy( lastPointR ); for ( let iPoint = 1; iPoint < numPoints; iPoint ++ ) { currentPoint = points[ iPoint ]; // Get next point if ( iPoint === numPoints - 1 ) { if ( isClosed ) { // Skip duplicated initial point nextPoint = points[ 1 ]; } else nextPoint = undefined; } else { nextPoint = points[ iPoint + 1 ]; } // Normal of previous segment in tempV2_1 const normal1 = tempV2_1; getNormal( previousPoint, currentPoint, normal1 ); tempV2_3.copy( normal1 ).multiplyScalar( strokeWidth2 ); currentPointL.copy( currentPoint ).sub( tempV2_3 ); currentPointR.copy( currentPoint ).add( tempV2_3 ); u1 = u0 + deltaU; innerSideModified = false; if ( nextPoint !== undefined ) { // Normal of next segment in tempV2_2 getNormal( currentPoint, nextPoint, tempV2_2 ); tempV2_3.copy( tempV2_2 ).multiplyScalar( strokeWidth2 ); nextPointL.copy( currentPoint ).sub( tempV2_3 ); nextPointR.copy( currentPoint ).add( tempV2_3 ); joinIsOnLeftSide = true; tempV2_3.subVectors( nextPoint, previousPoint ); if ( normal1.dot( tempV2_3 ) < 0 ) { joinIsOnLeftSide = false; } if ( iPoint === 1 ) initialJoinIsOnLeftSide = joinIsOnLeftSide; tempV2_3.subVectors( nextPoint, currentPoint ); tempV2_3.normalize(); const dot = Math.abs( normal1.dot( tempV2_3 ) ); // If path is straight, don't create join if ( dot > Number.EPSILON ) { // Compute inner and outer segment intersections const miterSide = strokeWidth2 / dot; tempV2_3.multiplyScalar( - miterSide ); tempV2_4.subVectors( currentPoint, previousPoint ); tempV2_5.copy( tempV2_4 ).setLength( miterSide ).add( tempV2_3 ); innerPoint.copy( tempV2_5 ).negate(); const miterLength2 = tempV2_5.length(); const segmentLengthPrev = tempV2_4.length(); tempV2_4.divideScalar( segmentLengthPrev ); tempV2_6.subVectors( nextPoint, currentPoint ); const segmentLengthNext = tempV2_6.length(); tempV2_6.divideScalar( segmentLengthNext ); // Check that previous and next segments doesn't overlap with the innerPoint of intersection if ( tempV2_4.dot( innerPoint ) < segmentLengthPrev && tempV2_6.dot( innerPoint ) < segmentLengthNext ) { innerSideModified = true; } outerPoint.copy( tempV2_5 ).add( currentPoint ); innerPoint.add( currentPoint ); isMiter = false; if ( innerSideModified ) { if ( joinIsOnLeftSide ) { nextPointR.copy( innerPoint ); currentPointR.copy( innerPoint ); } else { nextPointL.copy( innerPoint ); currentPointL.copy( innerPoint ); } } else { // The segment triangles are generated here if there was overlapping makeSegmentTriangles(); } switch ( style.strokeLineJoin ) { case 'bevel': makeSegmentWithBevelJoin( joinIsOnLeftSide, innerSideModified, u1 ); break; case 'round': // Segment triangles createSegmentTrianglesWithMiddleSection( joinIsOnLeftSide, innerSideModified ); // Join triangles if ( joinIsOnLeftSide ) { makeCircularSector( currentPoint, currentPointL, nextPointL, u1, 0 ); } else { makeCircularSector( currentPoint, nextPointR, currentPointR, u1, 1 ); } break; case 'miter': case 'miter-clip': default: const miterFraction = strokeWidth2 * style.strokeMiterLimit / miterLength2; if ( miterFraction < 1 ) { // The join miter length exceeds the miter limit if ( style.strokeLineJoin !== 'miter-clip' ) { makeSegmentWithBevelJoin( joinIsOnLeftSide, innerSideModified, u1 ); break; } else { // Segment triangles createSegmentTrianglesWithMiddleSection( joinIsOnLeftSide, innerSideModified ); // Miter-clip join triangles if ( joinIsOnLeftSide ) { tempV2_6.subVectors( outerPoint, currentPointL ).multiplyScalar( miterFraction ).add( currentPointL ); tempV2_7.subVectors( outerPoint, nextPointL ).multiplyScalar( miterFraction ).add( nextPointL ); addVertex( currentPointL, u1, 0 ); addVertex( tempV2_6, u1, 0 ); addVertex( currentPoint, u1, 0.5 ); addVertex( currentPoint, u1, 0.5 ); addVertex( tempV2_6, u1, 0 ); addVertex( tempV2_7, u1, 0 ); addVertex( currentPoint, u1, 0.5 ); addVertex( tempV2_7, u1, 0 ); addVertex( nextPointL, u1, 0 ); } else { tempV2_6.subVectors( outerPoint, currentPointR ).multiplyScalar( miterFraction ).add( currentPointR ); tempV2_7.subVectors( outerPoint, nextPointR ).multiplyScalar( miterFraction ).add( nextPointR ); addVertex( currentPointR, u1, 1 ); addVertex( tempV2_6, u1, 1 ); addVertex( currentPoint, u1, 0.5 ); addVertex( currentPoint, u1, 0.5 ); addVertex( tempV2_6, u1, 1 ); addVertex( tempV2_7, u1, 1 ); addVertex( currentPoint, u1, 0.5 ); addVertex( tempV2_7, u1, 1 ); addVertex( nextPointR, u1, 1 ); } } } else { // Miter join segment triangles if ( innerSideModified ) { // Optimized segment + join triangles if ( joinIsOnLeftSide ) { addVertex( lastPointR, u0, 1 ); addVertex( lastPointL, u0, 0 ); addVertex( outerPoint, u1, 0 ); addVertex( lastPointR, u0, 1 ); addVertex( outerPoint, u1, 0 ); addVertex( innerPoint, u1, 1 ); } else { addVertex( lastPointR, u0, 1 ); addVertex( lastPointL, u0, 0 ); addVertex( outerPoint, u1, 1 ); addVertex( lastPointL, u0, 0 ); addVertex( innerPoint, u1, 0 ); addVertex( outerPoint, u1, 1 ); } if ( joinIsOnLeftSide ) { nextPointL.copy( outerPoint ); } else { nextPointR.copy( outerPoint ); } } else { // Add extra miter join triangles if ( joinIsOnLeftSide ) { addVertex( currentPointL, u1, 0 ); addVertex( outerPoint, u1, 0 ); addVertex( currentPoint, u1, 0.5 ); addVertex( currentPoint, u1, 0.5 ); addVertex( outerPoint, u1, 0 ); addVertex( nextPointL, u1, 0 ); } else { addVertex( currentPointR, u1, 1 ); addVertex( outerPoint, u1, 1 ); addVertex( currentPoint, u1, 0.5 ); addVertex( currentPoint, u1, 0.5 ); addVertex( outerPoint, u1, 1 ); addVertex( nextPointR, u1, 1 ); } } isMiter = true; } break; } } else { // The segment triangles are generated here when two consecutive points are collinear makeSegmentTriangles(); } } else { // The segment triangles are generated here if it is the ending segment makeSegmentTriangles(); } if ( ! isClosed && iPoint === numPoints - 1 ) { // Start line endcap addCapGeometry( points[ 0 ], point0L, point0R, joinIsOnLeftSide, true, u0 ); } // Increment loop variables u0 = u1; previousPoint = currentPoint; lastPointL.copy( nextPointL ); lastPointR.copy( nextPointR ); } if ( ! isClosed ) { // Ending line endcap addCapGeometry( currentPoint, currentPointL, currentPointR, joinIsOnLeftSide, false, u1 ); } else if ( innerSideModified && vertices ) { // Modify path first segment vertices to adjust to the segments inner and outer intersections let lastOuter = outerPoint; let lastInner = innerPoint; if ( initialJoinIsOnLeftSide !== joinIsOnLeftSide ) { lastOuter = innerPoint; lastInner = outerPoint; } if ( joinIsOnLeftSide ) { if ( isMiter || initialJoinIsOnLeftSide ) { lastInner.toArray( vertices, 0 * 3 ); lastInner.toArray( vertices, 3 * 3 ); if ( isMiter ) { lastOuter.toArray( vertices, 1 * 3 ); } } } else { if ( isMiter || ! initialJoinIsOnLeftSide ) { lastInner.toArray( vertices, 1 * 3 ); lastInner.toArray( vertices, 3 * 3 ); if ( isMiter ) { lastOuter.toArray( vertices, 0 * 3 ); } } } } return numVertices; // -- End of algorithm // -- Functions function getNormal( p1, p2, result ) { result.subVectors( p2, p1 ); return result.set( - result.y, result.x ).normalize(); } function addVertex( position, u, v ) { if ( vertices ) { vertices[ currentCoordinate ] = position.x; vertices[ currentCoordinate + 1 ] = position.y; vertices[ currentCoordinate + 2 ] = 0; if ( normals ) { normals[ currentCoordinate ] = 0; normals[ currentCoordinate + 1 ] = 0; normals[ currentCoordinate + 2 ] = 1; } currentCoordinate += 3; if ( uvs ) { uvs[ currentCoordinateUV ] = u; uvs[ currentCoordinateUV + 1 ] = v; currentCoordinateUV += 2; } } numVertices += 3; } function makeCircularSector( center, p1, p2, u, v ) { // param p1, p2: Points in the circle arc. // p1 and p2 are in clockwise direction. tempV2_1.copy( p1 ).sub( center ).normalize(); tempV2_2.copy( p2 ).sub( center ).normalize(); let angle = Math.PI; const dot = tempV2_1.dot( tempV2_2 ); if ( Math.abs( dot ) < 1 ) angle = Math.abs( Math.acos( dot ) ); angle /= arcDivisions; tempV2_3.copy( p1 ); for ( let i = 0, il = arcDivisions - 1; i < il; i ++ ) { tempV2_4.copy( tempV2_3 ).rotateAround( center, angle ); addVertex( tempV2_3, u, v ); addVertex( tempV2_4, u, v ); addVertex( center, u, 0.5 ); tempV2_3.copy( tempV2_4 ); } addVertex( tempV2_4, u, v ); addVertex( p2, u, v ); addVertex( center, u, 0.5 ); } function makeSegmentTriangles() { addVertex( lastPointR, u0, 1 ); addVertex( lastPointL, u0, 0 ); addVertex( currentPointL, u1, 0 ); addVertex( lastPointR, u0, 1 ); addVertex( currentPointL, u1, 1 ); addVertex( currentPointR, u1, 0 ); } function makeSegmentWithBevelJoin( joinIsOnLeftSide, innerSideModified, u ) { if ( innerSideModified ) { // Optimized segment + bevel triangles if ( joinIsOnLeftSide ) { // THREE.Path segments triangles addVertex( lastPointR, u0, 1 ); addVertex( lastPointL, u0, 0 ); addVertex( currentPointL, u1, 0 ); addVertex( lastPointR, u0, 1 ); addVertex( currentPointL, u1, 0 ); addVertex( innerPoint, u1, 1 ); // Bevel join triangle addVertex( currentPointL, u, 0 ); addVertex( nextPointL, u, 0 ); addVertex( innerPoint, u, 0.5 ); } else { // THREE.Path segments triangles addVertex( lastPointR, u0, 1 ); addVertex( lastPointL, u0, 0 ); addVertex( currentPointR, u1, 1 ); addVertex( lastPointL, u0, 0 ); addVertex( innerPoint, u1, 0 ); addVertex( currentPointR, u1, 1 ); // Bevel join triangle addVertex( currentPointR, u, 1 ); addVertex( nextPointR, u, 0 ); addVertex( innerPoint, u, 0.5 ); } } else { // Bevel join triangle. The segment triangles are done in the main loop if ( joinIsOnLeftSide ) { addVertex( currentPointL, u, 0 ); addVertex( nextPointL, u, 0 ); addVertex( currentPoint, u, 0.5 ); } else { addVertex( currentPointR, u, 1 ); addVertex( nextPointR, u, 0 ); addVertex( currentPoint, u, 0.5 ); } } } function createSegmentTrianglesWithMiddleSection( joinIsOnLeftSide, innerSideModified ) { if ( innerSideModified ) { if ( joinIsOnLeftSide ) { addVertex( lastPointR, u0, 1 ); addVertex( lastPointL, u0, 0 ); addVertex( currentPointL, u1, 0 ); addVertex( lastPointR, u0, 1 ); addVertex( currentPointL, u1, 0 ); addVertex( innerPoint, u1, 1 ); addVertex( currentPointL, u0, 0 ); addVertex( currentPoint, u1, 0.5 ); addVertex( innerPoint, u1, 1 ); addVertex( currentPoint, u1, 0.5 ); addVertex( nextPointL, u0, 0 ); addVertex( innerPoint, u1, 1 ); } else { addVertex( lastPointR, u0, 1 ); addVertex( lastPointL, u0, 0 ); addVertex( currentPointR, u1, 1 ); addVertex( lastPointL, u0, 0 ); addVertex( innerPoint, u1, 0 ); addVertex( currentPointR, u1, 1 ); addVertex( currentPointR, u0, 1 ); addVertex( innerPoint, u1, 0 ); addVertex( currentPoint, u1, 0.5 ); addVertex( currentPoint, u1, 0.5 ); addVertex( innerPoint, u1, 0 ); addVertex( nextPointR, u0, 1 ); } } } function addCapGeometry( center, p1, p2, joinIsOnLeftSide, start, u ) { // param center: End point of the path // param p1, p2: Left and right cap points switch ( style.strokeLineCap ) { case 'round': if ( start ) { makeCircularSector( center, p2, p1, u, 0.5 ); } else { makeCircularSector( center, p1, p2, u, 0.5 ); } break; case 'square': if ( start ) { tempV2_1.subVectors( p1, center ); tempV2_2.set( tempV2_1.y, - tempV2_1.x ); tempV2_3.addVectors( tempV2_1, tempV2_2 ).add( center ); tempV2_4.subVectors( tempV2_2, tempV2_1 ).add( center ); // Modify already existing vertices if ( joinIsOnLeftSide ) { tempV2_3.toArray( vertices, 1 * 3 ); tempV2_4.toArray( vertices, 0 * 3 ); tempV2_4.toArray( vertices, 3 * 3 ); } else { tempV2_3.toArray( vertices, 1 * 3 ); tempV2_3.toArray( vertices, 3 * 3 ); tempV2_4.toArray( vertices, 0 * 3 ); } } else { tempV2_1.subVectors( p2, center ); tempV2_2.set( tempV2_1.y, - tempV2_1.x ); tempV2_3.addVectors( tempV2_1, tempV2_2 ).add( center ); tempV2_4.subVectors( tempV2_2, tempV2_1 ).add( center ); const vl = vertices.length; // Modify already existing vertices if ( joinIsOnLeftSide ) { tempV2_3.toArray( vertices, vl - 1 * 3 ); tempV2_4.toArray( vertices, vl - 2 * 3 ); tempV2_4.toArray( vertices, vl - 4 * 3 ); } else { tempV2_3.toArray( vertices, vl - 2 * 3 ); tempV2_4.toArray( vertices, vl - 1 * 3 ); tempV2_4.toArray( vertices, vl - 4 * 3 ); } } break; case 'butt': default: // Nothing to do here break; } } function removeDuplicatedPoints( points ) { // Creates a new array if necessary with duplicated points removed. // This does not remove duplicated initial and ending points of a closed path. let dupPoints = false; for ( let i = 1, n = points.length - 1; i < n; i ++ ) { if ( points[ i ].distanceTo( points[ i + 1 ] ) < minDistance ) { dupPoints = true; break; } } if ( ! dupPoints ) return points; const newPoints = []; newPoints.push( points[ 0 ] ); for ( let i = 1, n = points.length - 1; i < n; i ++ ) { if ( points[ i ].distanceTo( points[ i + 1 ] ) >= minDistance ) { newPoints.push( points[ i ] ); } } newPoints.push( points[ points.length - 1 ] ); return newPoints; } } } THREE.SVGLoader = SVGLoader; } )();